The discrete methods for solutions of continuous-time systems

  • I. Svarc


The first part of this contribution deals with discretizing differential equations. Difference equations can also be obtained by discretizing differential equations. A first order differential is approximated by a first order difference, a second order differential by a second order difference, etc. The other way of discretization is discretization by Z transformation of transfer function G(s). This contribution is concerned with the Euler’s method and bilinear method. The contribution solves the link between s and z.

The last part of this contribution contains solutions of unit step response and impulse response of continuous-time systems by discrete methods that were introduced here.

The contribution shows the new possibility of how to solve continuous-time control systems by discrete methods.


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  1. [1]
    W. S. Levine, “The Control Handbook”, CRC Press, Inc., Boca Raton, Florida, 1996zbMATHGoogle Scholar
  2. [2]
    I. Švarc, “Automatizace — Automaticke rizeni”, CERM, Brno, 2005Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • I. Svarc
    • 1
  1. 1.Institute of Automation and Information Technology Faculty of Mechanical EngineeringBrno University of TechnologyBrnoCzech Republic

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